Question

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?

Answer 1

Answer: a. The rise is –5, the run is 4.

Step-by-step explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let $(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(2,-1)$

We know that rise of a line = vertical change of points=change in the coordinates of y

=$y_2-y_1=-1-4=-5$

Run of line=horizontal change of points=change in the coordinates of x

=$x_2-x_1=2-(-2)=2+2=4$

Therefore, The rise is –5, the run is 4.

Answer 2

Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.